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<h1 id="sec_name">
<span data-if="hdevelop" style="display:inline;">evaluate_class_gmm</span><span data-if="c" style="display:none;">T_evaluate_class_gmm</span><span data-if="cpp" style="display:none;">EvaluateClassGmm</span><span data-if="dotnet" style="display:none;">EvaluateClassGmm</span><span data-if="python" style="display:none;">evaluate_class_gmm</span> (算子名称)</h1>
<h2>名称</h2>
<p><code><span data-if="hdevelop" style="display:inline;">evaluate_class_gmm</span><span data-if="c" style="display:none;">T_evaluate_class_gmm</span><span data-if="cpp" style="display:none;">EvaluateClassGmm</span><span data-if="dotnet" style="display:none;">EvaluateClassGmm</span><span data-if="python" style="display:none;">evaluate_class_gmm</span></code> — Evaluate a feature vector by a Gaussian Mixture Model.</p>
<h2 id="sec_synopsis">参数签名</h2>
<div data-if="hdevelop" style="display:inline;">
<p>
<code><b>evaluate_class_gmm</b>( :  : <a href="#GMMHandle"><i>GMMHandle</i></a>, <a href="#Features"><i>特征</i></a> : <a href="#ClassProb"><i>ClassProb</i></a>, <a href="#Density"><i>Density</i></a>, <a href="#KSigmaProb"><i>KSigmaProb</i></a>)</code></p>
</div>
<div data-if="c" style="display:none;">
<p>
<code>Herror <b>T_evaluate_class_gmm</b>(const Htuple <a href="#GMMHandle"><i>GMMHandle</i></a>, const Htuple <a href="#Features"><i>特征</i></a>, Htuple* <a href="#ClassProb"><i>ClassProb</i></a>, Htuple* <a href="#Density"><i>Density</i></a>, Htuple* <a href="#KSigmaProb"><i>KSigmaProb</i></a>)</code></p>
</div>
<div data-if="cpp" style="display:none;">
<p>
<code>void <b>EvaluateClassGmm</b>(const HTuple&amp; <a href="#GMMHandle"><i>GMMHandle</i></a>, const HTuple&amp; <a href="#Features"><i>特征</i></a>, HTuple* <a href="#ClassProb"><i>ClassProb</i></a>, HTuple* <a href="#Density"><i>Density</i></a>, HTuple* <a href="#KSigmaProb"><i>KSigmaProb</i></a>)</code></p>
<p>
<code><a href="HTuple.html">HTuple</a> <a href="HClassGmm.html">HClassGmm</a>::<b>EvaluateClassGmm</b>(const HTuple&amp; <a href="#Features"><i>特征</i></a>, double* <a href="#Density"><i>Density</i></a>, double* <a href="#KSigmaProb"><i>KSigmaProb</i></a>) const</code></p>
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<p>
<code>static void <a href="HOperatorSet.html">HOperatorSet</a>.<b>EvaluateClassGmm</b>(<a href="HTuple.html">HTuple</a> <a href="#GMMHandle"><i>GMMHandle</i></a>, <a href="HTuple.html">HTuple</a> <a href="#Features"><i>特征</i></a>, out <a href="HTuple.html">HTuple</a> <a href="#ClassProb"><i>classProb</i></a>, out <a href="HTuple.html">HTuple</a> <a href="#Density"><i>density</i></a>, out <a href="HTuple.html">HTuple</a> <a href="#KSigmaProb"><i>KSigmaProb</i></a>)</code></p>
<p>
<code><a href="HTuple.html">HTuple</a> <a href="HClassGmm.html">HClassGmm</a>.<b>EvaluateClassGmm</b>(<a href="HTuple.html">HTuple</a> <a href="#Features"><i>特征</i></a>, out double <a href="#Density"><i>density</i></a>, out double <a href="#KSigmaProb"><i>KSigmaProb</i></a>)</code></p>
</div>
<div data-if="python" style="display:none;">
<p>
<code>def <b>evaluate_class_gmm</b>(<a href="#GMMHandle"><i>gmmhandle</i></a>: HHandle, <a href="#Features"><i>特征</i></a>: Sequence[float]) -&gt; Tuple[Sequence[float], float, float]</code></p>
</div>
<h2 id="sec_description">描述</h2>
<p><code><span data-if="hdevelop" style="display:inline">evaluate_class_gmm</span><span data-if="c" style="display:none">evaluate_class_gmm</span><span data-if="cpp" style="display:none">EvaluateClassGmm</span><span data-if="com" style="display:none">EvaluateClassGmm</span><span data-if="dotnet" style="display:none">EvaluateClassGmm</span><span data-if="python" style="display:none">evaluate_class_gmm</span></code> computes three different probability
values for a feature vector <a href="#Features"><i><code><span data-if="hdevelop" style="display:inline">特征</span><span data-if="c" style="display:none">特征</span><span data-if="cpp" style="display:none">特征</span><span data-if="com" style="display:none">特征</span><span data-if="dotnet" style="display:none">特征</span><span data-if="python" style="display:none">特征</span></code></i></a> with the Gaussian
Mixture Model (GMM) <a href="#GMMHandle"><i><code><span data-if="hdevelop" style="display:inline">GMMHandle</span><span data-if="c" style="display:none">GMMHandle</span><span data-if="cpp" style="display:none">GMMHandle</span><span data-if="com" style="display:none">GMMHandle</span><span data-if="dotnet" style="display:none">GMMHandle</span><span data-if="python" style="display:none">gmmhandle</span></code></i></a>.
</p>
<p>The a-posteriori probability of class <code>i</code> for the sample
<a href="#Features"><i><code><span data-if="hdevelop" style="display:inline">特征</span><span data-if="c" style="display:none">特征</span><span data-if="cpp" style="display:none">特征</span><span data-if="com" style="display:none">特征</span><span data-if="dotnet" style="display:none">特征</span><span data-if="python" style="display:none">特征</span></code></i></a>(x) is computed as
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and returned for each class in <a href="#ClassProb"><i><code><span data-if="hdevelop" style="display:inline">ClassProb</span><span data-if="c" style="display:none">ClassProb</span><span data-if="cpp" style="display:none">ClassProb</span><span data-if="com" style="display:none">ClassProb</span><span data-if="dotnet" style="display:none">classProb</span><span data-if="python" style="display:none">class_prob</span></code></i></a>.  The formulas for
the calculation of the center density function p(x|j) are described with <a href="create_class_gmm.html"><code><span data-if="hdevelop" style="display:inline">create_class_gmm</span><span data-if="c" style="display:none">create_class_gmm</span><span data-if="cpp" style="display:none">CreateClassGmm</span><span data-if="com" style="display:none">CreateClassGmm</span><span data-if="dotnet" style="display:none">CreateClassGmm</span><span data-if="python" style="display:none">create_class_gmm</span></code></a>.
</p>
<p>The probability density of the feature vector is computed as a sum of
the posterior class probabilities
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and is returned in <a href="#Density"><i><code><span data-if="hdevelop" style="display:inline">Density</span><span data-if="c" style="display:none">Density</span><span data-if="cpp" style="display:none">Density</span><span data-if="com" style="display:none">Density</span><span data-if="dotnet" style="display:none">density</span><span data-if="python" style="display:none">density</span></code></i></a>.  Here, Pr(i) are
the prior classes probabilities as computed by
<a href="train_class_gmm.html"><code><span data-if="hdevelop" style="display:inline">train_class_gmm</span><span data-if="c" style="display:none">train_class_gmm</span><span data-if="cpp" style="display:none">TrainClassGmm</span><span data-if="com" style="display:none">TrainClassGmm</span><span data-if="dotnet" style="display:none">TrainClassGmm</span><span data-if="python" style="display:none">train_class_gmm</span></code></a>.  <a href="#Density"><i><code><span data-if="hdevelop" style="display:inline">Density</span><span data-if="c" style="display:none">Density</span><span data-if="cpp" style="display:none">Density</span><span data-if="com" style="display:none">Density</span><span data-if="dotnet" style="display:none">density</span><span data-if="python" style="display:none">density</span></code></i></a> can be used for novelty
detection, i.e., to reject feature vectors that do not belong to any
of the trained classes.  However, since <a href="#Density"><i><code><span data-if="hdevelop" style="display:inline">Density</span><span data-if="c" style="display:none">Density</span><span data-if="cpp" style="display:none">Density</span><span data-if="com" style="display:none">Density</span><span data-if="dotnet" style="display:none">density</span><span data-if="python" style="display:none">density</span></code></i></a> depends on
the scaling of the feature vectors and since <a href="#Density"><i><code><span data-if="hdevelop" style="display:inline">Density</span><span data-if="c" style="display:none">Density</span><span data-if="cpp" style="display:none">Density</span><span data-if="com" style="display:none">Density</span><span data-if="dotnet" style="display:none">density</span><span data-if="python" style="display:none">density</span></code></i></a> is a
probability density, and consequently does not need to lie between 0
and 1, the novelty detection can typically be performed more easily
with <a href="#KSigmaProb"><i><code><span data-if="hdevelop" style="display:inline">KSigmaProb</span><span data-if="c" style="display:none">KSigmaProb</span><span data-if="cpp" style="display:none">KSigmaProb</span><span data-if="com" style="display:none">KSigmaProb</span><span data-if="dotnet" style="display:none">KSigmaProb</span><span data-if="python" style="display:none">ksigma_prob</span></code></i></a> (see below).
</p>
<p>A <i>k-sigma error ellipsoid</i> is defined as a locus of points
for which
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  <g transform="matrix(1.600006,-0.000000,-0.000000,1.600006,96.994965 11.985046)" style="fill: rgb(0.000000%,0.000000%,0.000000%);">
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  <g transform="matrix(1.600006,-0.000000,-0.000000,1.600006,106.675461 11.985046)" style="fill: rgb(0.000000%,0.000000%,0.000000%);">
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</svg></span>. For any 1D Gaussian
distribution, it is true that approximately 68% of the
occurrences of the random variable are within this range for k=1,
approximately 95% for k=2, approximately 99%
for k=3, etc.
This probability is called k-sigma probability and is denoted by P[k].
P[k] can be computed numerically for univariate as well as for
multivariate Gaussian distributions, where it should be noted that
for the same values of k,
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(here N and (N+1) denote dimensions). For Gaussian
mixture models the k-sigma probability is computed as:
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</svg></span> are weighted with the class priors and then
normalized.
The maximum value of all classes is returned in <a href="#KSigmaProb"><i><code><span data-if="hdevelop" style="display:inline">KSigmaProb</span><span data-if="c" style="display:none">KSigmaProb</span><span data-if="cpp" style="display:none">KSigmaProb</span><span data-if="com" style="display:none">KSigmaProb</span><span data-if="dotnet" style="display:none">KSigmaProb</span><span data-if="python" style="display:none">ksigma_prob</span></code></i></a>, such
that
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</p>
<p><a href="#KSigmaProb"><i><code><span data-if="hdevelop" style="display:inline">KSigmaProb</span><span data-if="c" style="display:none">KSigmaProb</span><span data-if="cpp" style="display:none">KSigmaProb</span><span data-if="com" style="display:none">KSigmaProb</span><span data-if="dotnet" style="display:none">KSigmaProb</span><span data-if="python" style="display:none">ksigma_prob</span></code></i></a> can be used for novelty detection, as it indicates how
well a feature vector fits into the distribution of the class it is assigned
to. Typically, feature vectors having values below 0.0001 should be rejected.
Note that the rejection threshold defined by the parameter
<code><span data-if="hdevelop" style="display:inline">RejectionThreshold</span><span data-if="c" style="display:none">RejectionThreshold</span><span data-if="cpp" style="display:none">RejectionThreshold</span><span data-if="com" style="display:none">RejectionThreshold</span><span data-if="dotnet" style="display:none">rejectionThreshold</span><span data-if="python" style="display:none">rejection_threshold</span></code> in <a href="classify_image_class_gmm.html"><code><span data-if="hdevelop" style="display:inline">classify_image_class_gmm</span><span data-if="c" style="display:none">classify_image_class_gmm</span><span data-if="cpp" style="display:none">ClassifyImageClassGmm</span><span data-if="com" style="display:none">ClassifyImageClassGmm</span><span data-if="dotnet" style="display:none">ClassifyImageClassGmm</span><span data-if="python" style="display:none">classify_image_class_gmm</span></code></a>
refers to the <a href="#KSigmaProb"><i><code><span data-if="hdevelop" style="display:inline">KSigmaProb</span><span data-if="c" style="display:none">KSigmaProb</span><span data-if="cpp" style="display:none">KSigmaProb</span><span data-if="com" style="display:none">KSigmaProb</span><span data-if="dotnet" style="display:none">KSigmaProb</span><span data-if="python" style="display:none">ksigma_prob</span></code></i></a> values.
</p>
<p>Before calling <code><span data-if="hdevelop" style="display:inline">evaluate_class_gmm</span><span data-if="c" style="display:none">evaluate_class_gmm</span><span data-if="cpp" style="display:none">EvaluateClassGmm</span><span data-if="com" style="display:none">EvaluateClassGmm</span><span data-if="dotnet" style="display:none">EvaluateClassGmm</span><span data-if="python" style="display:none">evaluate_class_gmm</span></code>, the GMM must be trained
with <a href="train_class_gmm.html"><code><span data-if="hdevelop" style="display:inline">train_class_gmm</span><span data-if="c" style="display:none">train_class_gmm</span><span data-if="cpp" style="display:none">TrainClassGmm</span><span data-if="com" style="display:none">TrainClassGmm</span><span data-if="dotnet" style="display:none">TrainClassGmm</span><span data-if="python" style="display:none">train_class_gmm</span></code></a>.
</p>
<p>The position of the maximum value of <a href="#ClassProb"><i><code><span data-if="hdevelop" style="display:inline">ClassProb</span><span data-if="c" style="display:none">ClassProb</span><span data-if="cpp" style="display:none">ClassProb</span><span data-if="com" style="display:none">ClassProb</span><span data-if="dotnet" style="display:none">classProb</span><span data-if="python" style="display:none">class_prob</span></code></i></a> is usually
interpreted as the class of the feature vector and the corresponding
value as the probability of the class.  In this case,
<a href="classify_class_gmm.html"><code><span data-if="hdevelop" style="display:inline">classify_class_gmm</span><span data-if="c" style="display:none">classify_class_gmm</span><span data-if="cpp" style="display:none">ClassifyClassGmm</span><span data-if="com" style="display:none">ClassifyClassGmm</span><span data-if="dotnet" style="display:none">ClassifyClassGmm</span><span data-if="python" style="display:none">classify_class_gmm</span></code></a> should be used instead of
<code><span data-if="hdevelop" style="display:inline">evaluate_class_gmm</span><span data-if="c" style="display:none">evaluate_class_gmm</span><span data-if="cpp" style="display:none">EvaluateClassGmm</span><span data-if="com" style="display:none">EvaluateClassGmm</span><span data-if="dotnet" style="display:none">EvaluateClassGmm</span><span data-if="python" style="display:none">evaluate_class_gmm</span></code>, because <a href="classify_class_gmm.html"><code><span data-if="hdevelop" style="display:inline">classify_class_gmm</span><span data-if="c" style="display:none">classify_class_gmm</span><span data-if="cpp" style="display:none">ClassifyClassGmm</span><span data-if="com" style="display:none">ClassifyClassGmm</span><span data-if="dotnet" style="display:none">ClassifyClassGmm</span><span data-if="python" style="display:none">classify_class_gmm</span></code></a>
directly returns the class and corresponding probability.</p>
<h2 id="sec_execution">运行信息</h2>
<ul>
  <li>多线程类型:可重入(与非独占操作符并行运行)。</li>
<li>多线程作用域:全局(可以从任何线程调用)。</li>
  <li>未经并行化处理。</li>
</ul>
<h2 id="sec_parameters">参数表</h2>
  <div class="par">
<div class="parhead">
<span id="GMMHandle" class="parname"><b><code><span data-if="hdevelop" style="display:inline">GMMHandle</span><span data-if="c" style="display:none">GMMHandle</span><span data-if="cpp" style="display:none">GMMHandle</span><span data-if="com" style="display:none">GMMHandle</span><span data-if="dotnet" style="display:none">GMMHandle</span><span data-if="python" style="display:none">gmmhandle</span></code></b> (input_control)  </span><span>class_gmm <code>→</code> <span data-if="dotnet" style="display:none"><a href="HClassGmm.html">HClassGmm</a>, </span><span data-if="dotnet" style="display:none"><a href="HTuple.html">HTuple</a></span><span data-if="python" style="display:none">HHandle</span><span data-if="cpp" style="display:none"><a href="HTuple.html">HTuple</a></span><span data-if="c" style="display:none">Htuple</span><span data-if="hdevelop" style="display:inline"> (handle)</span><span data-if="dotnet" style="display:none"> (<i>IntPtr</i>)</span><span data-if="cpp" style="display:none"> (<i>HHandle</i>)</span><span data-if="c" style="display:none"> (<i>handle</i>)</span></span>
</div>
<p class="pardesc">GMM handle.</p>
</div>
  <div class="par">
<div class="parhead">
<span id="Features" class="parname"><b><code><span data-if="hdevelop" style="display:inline">特征</span><span data-if="c" style="display:none">特征</span><span data-if="cpp" style="display:none">特征</span><span data-if="com" style="display:none">特征</span><span data-if="dotnet" style="display:none">特征</span><span data-if="python" style="display:none">特征</span></code></b> (input_control)  </span><span>real-array <code>→</code> <span data-if="dotnet" style="display:none"><a href="HTuple.html">HTuple</a></span><span data-if="python" style="display:none">Sequence[float]</span><span data-if="cpp" style="display:none"><a href="HTuple.html">HTuple</a></span><span data-if="c" style="display:none">Htuple</span><span data-if="hdevelop" style="display:inline"> (real)</span><span data-if="dotnet" style="display:none"> (<i>double</i>)</span><span data-if="cpp" style="display:none"> (<i>double</i>)</span><span data-if="c" style="display:none"> (<i>double</i>)</span></span>
</div>
<p class="pardesc">Feature vector.</p>
</div>
  <div class="par">
<div class="parhead">
<span id="ClassProb" class="parname"><b><code><span data-if="hdevelop" style="display:inline">ClassProb</span><span data-if="c" style="display:none">ClassProb</span><span data-if="cpp" style="display:none">ClassProb</span><span data-if="com" style="display:none">ClassProb</span><span data-if="dotnet" style="display:none">classProb</span><span data-if="python" style="display:none">class_prob</span></code></b> (output_control)  </span><span>real-array <code>→</code> <span data-if="dotnet" style="display:none"><a href="HTuple.html">HTuple</a></span><span data-if="python" style="display:none">Sequence[float]</span><span data-if="cpp" style="display:none"><a href="HTuple.html">HTuple</a></span><span data-if="c" style="display:none">Htuple</span><span data-if="hdevelop" style="display:inline"> (real)</span><span data-if="dotnet" style="display:none"> (<i>double</i>)</span><span data-if="cpp" style="display:none"> (<i>double</i>)</span><span data-if="c" style="display:none"> (<i>double</i>)</span></span>
</div>
<p class="pardesc">A-posteriori probability of the classes.</p>
</div>
  <div class="par">
<div class="parhead">
<span id="Density" class="parname"><b><code><span data-if="hdevelop" style="display:inline">Density</span><span data-if="c" style="display:none">Density</span><span data-if="cpp" style="display:none">Density</span><span data-if="com" style="display:none">Density</span><span data-if="dotnet" style="display:none">density</span><span data-if="python" style="display:none">density</span></code></b> (output_control)  </span><span>real <code>→</code> <span data-if="dotnet" style="display:none"><a href="HTuple.html">HTuple</a></span><span data-if="python" style="display:none">float</span><span data-if="cpp" style="display:none"><a href="HTuple.html">HTuple</a></span><span data-if="c" style="display:none">Htuple</span><span data-if="hdevelop" style="display:inline"> (real)</span><span data-if="dotnet" style="display:none"> (<i>double</i>)</span><span data-if="cpp" style="display:none"> (<i>double</i>)</span><span data-if="c" style="display:none"> (<i>double</i>)</span></span>
</div>
<p class="pardesc">Probability density of the feature vector.</p>
</div>
  <div class="par">
<div class="parhead">
<span id="KSigmaProb" class="parname"><b><code><span data-if="hdevelop" style="display:inline">KSigmaProb</span><span data-if="c" style="display:none">KSigmaProb</span><span data-if="cpp" style="display:none">KSigmaProb</span><span data-if="com" style="display:none">KSigmaProb</span><span data-if="dotnet" style="display:none">KSigmaProb</span><span data-if="python" style="display:none">ksigma_prob</span></code></b> (output_control)  </span><span>real <code>→</code> <span data-if="dotnet" style="display:none"><a href="HTuple.html">HTuple</a></span><span data-if="python" style="display:none">float</span><span data-if="cpp" style="display:none"><a href="HTuple.html">HTuple</a></span><span data-if="c" style="display:none">Htuple</span><span data-if="hdevelop" style="display:inline"> (real)</span><span data-if="dotnet" style="display:none"> (<i>double</i>)</span><span data-if="cpp" style="display:none"> (<i>double</i>)</span><span data-if="c" style="display:none"> (<i>double</i>)</span></span>
</div>
<p class="pardesc">Normalized k-sigma-probability for the feature
vector.</p>
</div>
<h2 id="sec_result">结果</h2>
<p>如果参数均有效，算子 <code><span data-if="hdevelop" style="display:inline">evaluate_class_gmm</span><span data-if="c" style="display:none">evaluate_class_gmm</span><span data-if="cpp" style="display:none">EvaluateClassGmm</span><span data-if="com" style="display:none">EvaluateClassGmm</span><span data-if="dotnet" style="display:none">EvaluateClassGmm</span><span data-if="python" style="display:none">evaluate_class_gmm</span></code>
返回值 <TT>2</TT> (
      <TT>H_MSG_TRUE</TT>)
    .  If necessary an exception is
raised.</p>
<h2 id="sec_predecessors">可能的前置算子</h2>
<p>
<code><a href="train_class_gmm.html"><span data-if="hdevelop" style="display:inline">train_class_gmm</span><span data-if="c" style="display:none">train_class_gmm</span><span data-if="cpp" style="display:none">TrainClassGmm</span><span data-if="com" style="display:none">TrainClassGmm</span><span data-if="dotnet" style="display:none">TrainClassGmm</span><span data-if="python" style="display:none">train_class_gmm</span></a></code>, 
<code><a href="read_class_gmm.html"><span data-if="hdevelop" style="display:inline">read_class_gmm</span><span data-if="c" style="display:none">read_class_gmm</span><span data-if="cpp" style="display:none">ReadClassGmm</span><span data-if="com" style="display:none">ReadClassGmm</span><span data-if="dotnet" style="display:none">ReadClassGmm</span><span data-if="python" style="display:none">read_class_gmm</span></a></code>
</p>
<h2 id="sec_alternatives">可替代算子</h2>
<p>
<code><a href="classify_class_gmm.html"><span data-if="hdevelop" style="display:inline">classify_class_gmm</span><span data-if="c" style="display:none">classify_class_gmm</span><span data-if="cpp" style="display:none">ClassifyClassGmm</span><span data-if="com" style="display:none">ClassifyClassGmm</span><span data-if="dotnet" style="display:none">ClassifyClassGmm</span><span data-if="python" style="display:none">classify_class_gmm</span></a></code>
</p>
<h2 id="sec_see">参考其它</h2>
<p>
<code><a href="create_class_gmm.html"><span data-if="hdevelop" style="display:inline">create_class_gmm</span><span data-if="c" style="display:none">create_class_gmm</span><span data-if="cpp" style="display:none">CreateClassGmm</span><span data-if="com" style="display:none">CreateClassGmm</span><span data-if="dotnet" style="display:none">CreateClassGmm</span><span data-if="python" style="display:none">create_class_gmm</span></a></code>
</p>
<h2 id="sec_references">References</h2>
<p>

Christopher M. Bishop: “Neural Networks for Pattern Recognition”;
Oxford University Press, Oxford; 1995.
<br>
Mario A.T. Figueiredo: “Unsupervised Learning of Finite Mixture
Models”; IEEE Transactions on Pattern Analysis and Machine
Intelligence, Vol. 24, No. 3; March 2002.
</p>
<h2 id="sec_module">模块</h2>
<p>
Foundation</p>
<!--OP_REF_FOOTER_START-->
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